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Finding the Fourth Proportional to 23,778.92, 32,814.88 and 13,168.54

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Solution

The fourth proportional to 23,778.92, 32,814.88 and 13,168.54 is: 18,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.92 : 32,814.88 = 13,168.54 : x
  2. Step 2: Convert to fraction form
    23,778.92/32,814.88 = 13,168.54/x
  3. Step 3: Cross multiply
    23,778.92x = 32,814.88 × 13,168.54
  4. Step 4: Simplify right side
    23,778.92x = 432,124,059.88
  5. Step 5: Solve for x
    x = 432,124,059.88/23,778.92
  6. Step 6: Final answer
    x = 18,172.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.